Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904bi |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-5598440030208 = -1 · 215 · 3 · 195 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 2 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,991,-113535] |
[a1,a2,a3,a4,a6] |
Generators |
[85:760:1] |
Generators of the group modulo torsion |
j |
3281379256/170850831 |
j-invariant |
L |
6.2722751598305 |
L(r)(E,1)/r! |
Ω |
0.36400318717789 |
Real period |
R |
0.86156871441355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904bn1 41952h1 |
Quadratic twists by: -4 8 |